The correct option is: B. ![25000=5000(1.043)^t](https://tex.z-dn.net/?f=25000%3D5000%281.043%29%5Et)
<u><em>Explanation</em></u>
<u>The general form of growth equation</u> is:
, where A = final amount, P = initial amount, r = growth rate in decimal form and t = time duration
Here, the speed of the rocket at the beginning was 5,000 kilometers per hour and at the end will be 25,000 kilometers per hour. The speed increases at a rate of 4.3% per minute.
That means, ![A= 25000 , P= 5000, r= 4.3\% = 0.043](https://tex.z-dn.net/?f=A%3D%2025000%20%2C%20P%3D%205000%2C%20r%3D%204.3%5C%25%20%3D%200.043)
Now <u>plugging these values into the above equation</u>, we will get......
![25000=5000(1+0.043)^t\\ \\ 25000=5000(1.043)^t](https://tex.z-dn.net/?f=25000%3D5000%281%2B0.043%29%5Et%5C%5C%20%5C%5C%2025000%3D5000%281.043%29%5Et)
So, the equation that could be used to determine the time for the speed of the rocket to reach 25,000 kilometers per hour will be: ![25000=5000(1.043)^t](https://tex.z-dn.net/?f=25000%3D5000%281.043%29%5Et)
Answer:
57
Step-by-step explanation:
408-9 =399
399/7 =57
Since they are vertical angles, they equal each other. Therefor the equation would be: 30x-29 = 20x+21
10x = 50
X = 5
After, you plug whatever x is back into the other equations.
20(5)+21 = 121 and 30(5)-29 = 121
Answer:
10,000
Step-by-step explanation:
The link capacity is 10^9 bps; the link usage is 10^5 bps per user, so the number of users that can be supported is ...
(10^9 bps)/(10^5 bps/user) = 10^4 users
Answer:
Option (4) is correct.
Step-by-step explanation:
We need to show that
is equivalent to radical
.
We can do it as follows :
![\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5E3%7D%20%3D%285%5E3%29%5E%7B%5Cdfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5C%3D5%5E%7B%5Cdfrac%7B3%7D%7B2%7D%7D)
Hence, the correct option is (4).